Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #20242162 | C2 | semidirect |
| 3. #20242073 | C2 | semidirect |
| 4. #20242069 | C2 | semidirect |
| 6. #20241285 | C2 | semidirect |
| 186. C47 | #10449 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243380 | 2 |
| #20242162 | 2 |
| #20242073 | 2 |
| #20242069 | 2 |
| #20241779 | 2 |
| #20241285 | 2 |
| C2×C47×#474 | 2 |
| #10449 | 47 |